Extensions 1→N→G→Q→1 with N=C₂×Dic₇ and Q=C₂²

Direct product G=N×Q with N=C₂×Dic₇ and Q=C₂²

		d	ρ	Label	ID
C₂³×Dic₇		224		C2^3xDic7	224,187

Semidirect products G=N:Q with N=C₂×Dic₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₇)⋊₁C₂² = C₂²⋊D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	56		(C2xDic7):1C2^2	224,77
(C₂×Dic₇)⋊₂C₂² = C₂³⋊D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	56		(C2xDic7):2C2^2	224,132
(C₂×Dic₇)⋊₃C₂² = C₂⁴⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	56		(C2xDic7):3C2^2	224,148
(C₂×Dic₇)⋊₄C₂² = D₄⋊₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	56	4	(C2xDic7):4C2^2	224,180
(C₂×Dic₇)⋊₅C₂² = D₇×C₂²⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	56		(C2xDic7):5C2^2	224,75
(C₂×Dic₇)⋊₆C₂² = C₂×D₁₄⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7):6C2^2	224,122
(C₂×Dic₇)⋊₇C₂² = C₂×C₂³.D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7):7C2^2	224,147
(C₂×Dic₇)⋊₈C₂² = C₂×D₄×D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	56		(C2xDic7):8C2^2	224,178
(C₂×Dic₇)⋊₉C₂² = C₂×D₄⋊₂D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7):9C2^2	224,179
(C₂×Dic₇)⋊₁₀C₂² = D₇×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	56	4	(C2xDic7):10C2^2	224,184
(C₂×Dic₇)⋊₁₁C₂² = C₂²×C₇⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7):11C2^2	224,188
(C₂×Dic₇)⋊₁₂C₂² = D₇×C₂²×C₄	φ: trivial image	112		(C2xDic7):12C2^2	224,175

Non-split extensions G=N.Q with N=C₂×Dic₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₇).₁C₂² = C₂₈⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	224		(C2xDic7).1C2^2	224,64
(C₂×Dic₇).₂C₂² = C₂₈.₆Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	224		(C2xDic7).2C2^2	224,65
(C₂×Dic₇).₃C₂² = C₄.D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	112		(C2xDic7).3C2^2	224,70
(C₂×Dic₇).₄C₂² = C₄²⋊₂D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	112		(C2xDic7).4C2^2	224,71
(C₂×Dic₇).₅C₂² = C₂²⋊Dic₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	112		(C2xDic7).5C2^2	224,73
(C₂×Dic₇).₆C₂² = D₁₄.D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	112		(C2xDic7).6C2^2	224,78
(C₂×Dic₇).₇C₂² = D₁₄⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	112		(C2xDic7).7C2^2	224,79
(C₂×Dic₇).₈C₂² = C₂₈⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	224		(C2xDic7).8C2^2	224,83
(C₂×Dic₇).₉C₂² = Dic₇.Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	224		(C2xDic7).9C2^2	224,84
(C₂×Dic₇).₁₀C₂² = C₂₈.₃Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	224		(C2xDic7).10C2^2	224,85
(C₂×Dic₇).₁₁C₂² = D₁₄.₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	112		(C2xDic7).11C2^2	224,89
(C₂×Dic₇).₁₂C₂² = D₁₄⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	112		(C2xDic7).12C2^2	224,91
(C₂×Dic₇).₁₃C₂² = D₁₄⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	112		(C2xDic7).13C2^2	224,92
(C₂×Dic₇).₁₄C₂² = C₂₈.₄₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	112		(C2xDic7).14C2^2	224,119
(C₂×Dic₇).₁₅C₂² = C₂³.₂₃D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	112		(C2xDic7).15C2^2	224,124
(C₂×Dic₇).₁₆C₂² = C₂₈⋊₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	112		(C2xDic7).16C2^2	224,125
(C₂×Dic₇).₁₇C₂² = C₂³.₁₈D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	112		(C2xDic7).17C2^2	224,130
(C₂×Dic₇).₁₈C₂² = C₂₈.₁₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	112		(C2xDic7).18C2^2	224,131
(C₂×Dic₇).₁₉C₂² = C₂₈⋊₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	112		(C2xDic7).19C2^2	224,133
(C₂×Dic₇).₂₀C₂² = Dic₇⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	224		(C2xDic7).20C2^2	224,139
(C₂×Dic₇).₂₁C₂² = D₁₄⋊₃Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	112		(C2xDic7).21C2^2	224,141
(C₂×Dic₇).₂₂C₂² = D₄.₁₀D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₇	112	4-	(C2xDic7).22C2^2	224,186
(C₂×Dic₇).₂₃C₂² = C₄×Dic₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	224		(C2xDic7).23C2^2	224,63
(C₂×Dic₇).₂₄C₂² = C₄²⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7).24C2^2	224,67
(C₂×Dic₇).₂₅C₂² = C₄×D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7).25C2^2	224,68
(C₂×Dic₇).₂₆C₂² = C₂³.D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7).26C2^2	224,74
(C₂×Dic₇).₂₇C₂² = Dic₇.D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7).27C2^2	224,80
(C₂×Dic₇).₂₈C₂² = C₂².D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7).28C2^2	224,81
(C₂×Dic₇).₂₉C₂² = D₇×C₄⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7).29C2^2	224,86
(C₂×Dic₇).₃₀C₂² = C₄⋊C₄⋊₇D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7).30C2^2	224,87
(C₂×Dic₇).₃₁C₂² = C₄⋊D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7).31C2^2	224,90
(C₂×Dic₇).₃₂C₂² = C₄⋊C₄⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7).32C2^2	224,93
(C₂×Dic₇).₃₃C₂² = C₂×Dic₇⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	224		(C2xDic7).33C2^2	224,118
(C₂×Dic₇).₃₄C₂² = C₂×C₄⋊Dic₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	224		(C2xDic7).34C2^2	224,120
(C₂×Dic₇).₃₅C₂² = C₂³.₂₁D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7).35C2^2	224,121
(C₂×Dic₇).₃₆C₂² = C₄×C₇⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7).36C2^2	224,123
(C₂×Dic₇).₃₇C₂² = D₄×Dic₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7).37C2^2	224,129
(C₂×Dic₇).₃₈C₂² = Dic₇⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7).38C2^2	224,134
(C₂×Dic₇).₃₉C₂² = C₂₈⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7).39C2^2	224,135
(C₂×Dic₇).₄₀C₂² = Q₈×Dic₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	224		(C2xDic7).40C2^2	224,140
(C₂×Dic₇).₄₁C₂² = C₂₈.₂₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7).41C2^2	224,142
(C₂×Dic₇).₄₂C₂² = C₂²×Dic₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	224		(C2xDic7).42C2^2	224,174
(C₂×Dic₇).₄₃C₂² = C₂×C₄○D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7).43C2^2	224,177
(C₂×Dic₇).₄₄C₂² = C₂×Q₈×D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₇	112		(C2xDic7).44C2^2	224,181
(C₂×Dic₇).₄₅C₂² = D₇×C₄²	φ: trivial image	112		(C2xDic7).45C2^2	224,66
(C₂×Dic₇).₄₆C₂² = C₂³.₁₁D₁₄	φ: trivial image	112		(C2xDic7).46C2^2	224,72
(C₂×Dic₇).₄₇C₂² = Dic₇⋊₄D₄	φ: trivial image	112		(C2xDic7).47C2^2	224,76
(C₂×Dic₇).₄₈C₂² = Dic₇⋊₃Q₈	φ: trivial image	224		(C2xDic7).48C2^2	224,82
(C₂×Dic₇).₄₉C₂² = D₂₈⋊C₄	φ: trivial image	112		(C2xDic7).49C2^2	224,88
(C₂×Dic₇).₅₀C₂² = C₂×C₄×Dic₇	φ: trivial image	224		(C2xDic7).50C2^2	224,117
(C₂×Dic₇).₅₁C₂² = C₂×Q₈⋊₂D₇	φ: trivial image	112		(C2xDic7).51C2^2	224,182

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Extensions 1→N→G→Q→1 with N=C2×Dic7 and Q=C22

Extensions 1→N→G→Q→1 with N=C₂×Dic₇ and Q=C₂²